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Finding the Fourth Proportional to 726.10, 983.48 and 726.10

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Solution

The fourth proportional to 726.10, 983.48 and 726.10 is: 983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.10 : 983.48 = 726.10 : x
  2. Step 2: Convert to fraction form
    726.10/983.48 = 726.10/x
  3. Step 3: Cross multiply
    726.10x = 983.48 × 726.10
  4. Step 4: Simplify right side
    726.10x = 714,104.83
  5. Step 5: Solve for x
    x = 714,104.83/726.10
  6. Step 6: Final answer
    x = 983.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.